algebra 1 help

simplifying square roots

1) find volume of this prism?
v=bwh

b=√12"
w=√6"
h=√8"

2)simplify: √576

3)simplify: √400

4)simplify: √256

5)simplify: √(1/4)

ex 2√5 + 6√5= 8√5

the answer has to be in √

but i don't understand it i got help by my teacher but i'm still confused

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  1. 1)

    V = b w h

    V = sqrt ( 12 ) * sqrt ( 6 ) * sqrt ( 8 ) = sqrt ( 12 * 6 * 8 ) = sqrt ( 576 ) = 24 " ^ 3

    2 )

    576 = 24 * 24 = 24 ^ 2

    sqrt ( 576 ) = sqrt ( 24 ^ 2 ) = + OR - 24

    3 )

    400 = 20 * 20 = 20 ^ 2

    sqrt ( 400 ) = sqrt ( 20 ^ 2 ) = + OR - 20

    4 )

    256 = 16 * 16 = 16 ^ 2

    sqrt ( 256 ) = sqrt ( 16 ^ 2 ) = + OR - 16

    5 )

    1 / 4 = ( 1 / 2 ) * ( 1 / 2 ) = ( 1 / 2 ) ^ 2

    sqrt ( 1 / 4 ) = sqrt [ ( 1 / 2 ) ^ 2 ] = + OR - 1 / 2

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  2. for #1 why did you get a ^ isn't the final answer supposed to be a sqrt

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  3. That is maximum simplified answers.

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